EuDML | Browse

The paper studies polynomial approximation models with a new type of constraints that enable to get estimates with significant properties. Recently we enhanced a representation of polynomials based on three reference points. Here we propose a two-part cubic smoothing scheme that leverages this representation. The presence of these points in the model has several consequences. The most important one is the fact that by appropriate location of the reference points the resulting approximant of two...

Reference points based transformation and approximation

Csaba Török (2013)

Kybernetika

Interpolating and approximating polynomials have been living separately more than two centuries. Our aim is to propose a general parametric regression model that incorporates both interpolation and approximation. The paper introduces first a new $r$ -point transformation that yields a function with a simpler geometrical structure than the original function. It uses $r \geq 2$ reference points and decreases the polynomial degree by $r - 1$ . Then a general representation of polynomials is proposed based on $r \geq 1$ reference...

Displaying 1 – 9 of 9

Radial basis functions: basics, advanced topics and meshfree methods for transport problems.

Rational interpolation: analytical solution.

Rationale Interpolation, Normalität und Monosplines.

Reduced Piecewise Bivariate Hermite Interpolations.

Reference points based recursive approximation

Reference points based transformation and approximation

Relèvement polynômial de traces et applications

Reliable Rational Interpolation.

Ritz-Galerkin Approximations in Blending Function Spaces.

Currently displaying 1 – 9 of 9